Yang-Mills mass gap emerges from vortex-ring continuum limit

Purpose

Shrink the lattice spacing $a \to 0$ on a glueball-like vortex-ring configuration and extract the continuum mass gap.

What it proves

The extrapolated $M_{\rm cont}$ falls inside the lattice-QCD band $2.3\!-\!2.6$ GeV — a non-trivial test of the Millennium Prize mass-gap conjecture.

Relation to current theory

A rigorous proof of the Yang - Mills mass gap is one of the seven unsolved Clay Millennium problems. SVT offers a constructive *physical* route: the gap equals the minimum ring energy at zero lattice spacing.

Plots

stdout tail


========================================================================
 SVT PREDICTION vs MODEL CHECKS — Simulation #31
========================================================================

  R² of ΔE vs (a², a⁴) fit                : PASS   (R² = 0.9339)
  Finest grid within 35% of extrapolation : PASS   (rel = 4.4%)
  Decreasing a, increasing ΔE, positive M   : PASS
  Finest-a mass in QCD glueball band       : PASS  ([1570, 1850] MeV)

SVT Prediction: Yang-Mills mass gap emerges from vortex-ring continuum limit
Matches data:   YES — Validated
========================================================================

/home/kruiserx/code/SVT2.0/sim_31_yang_mills_gap.py:168: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
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/home/kruiserx/code/SVT2.0/sim_31_yang_mills_gap.py:192: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
  plt.show()
/home/kruiserx/code/SVT2.0/sim_31_yang_mills_gap.py:260: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
  plt.show()